## Modeling and analysis of transients in periodic gratings. II. Resonant wave scattering

JOSA A, Vol. 27, Issue 3, pp. 544-552 (2010)

http://dx.doi.org/10.1364/JOSAA.27.000544

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### Abstract

In this paper we represent a number of new physical results obtained using time domain methods and based on equivalent replacement of initially open electrodynamic problems with closed ones. These results prove the high efficiency and reliability of the approach, being grounded in our companion paper in this issue.

© 2010 Optical Society of America

**OCIS Codes**

(000.3860) General : Mathematical methods in physics

(050.1950) Diffraction and gratings : Diffraction gratings

(050.1755) Diffraction and gratings : Computational electromagnetic methods

(050.5745) Diffraction and gratings : Resonance domain

**ToC Category:**

Diffraction and Gratings

**History**

Original Manuscript: November 9, 2009

Manuscript Accepted: January 3, 2010

Published: February 25, 2010

**Citation**

Kostyantyn Y. Sirenko, Yuriy K. Sirenko, and Nataliya P. Yashina, "Modeling and analysis of transients in periodic gratings. II. Resonant wave scattering," J. Opt. Soc. Am. A **27**, 544-552 (2010)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-3-544

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### References

- K. Y. Sirenko, Y. K. Sirenko, and N. P. Yashina, “Modeling and analysis of transients in periodic gratings. I. Fully absorbing boundaries for 2-D open problems,” J. Opt. Soc. Am. A 27, 532-543 (2010). [CrossRef]
- A. Taflove and S. C. Hagness, Computational Electrodynamics: the Finite-Difference Time-Domain Method (Artech House, 2000).
- Y. K. Sirenko, S. Strom, and N. P. Yashina, Modeling and Analysis of Transient Processes in Open Resonant Structures. New Methods and Techniques (Springer, 2007). [PubMed]
- O. A. Ladyzhenskaya, The Boundary Value Problems of Mathematical Physics (Springer-Verlag, 1985).
- B. Engquist and A. Majda, “Absorbing boundary conditions for the numerical simulation of waves,” Math. Comput. 31, 629-651 (1977). [CrossRef]
- G. Mur, “Absorbing boundary conditions for the finite difference approximation of the time-domain electromagnetic-field equations,” Int. J. Remote Sens. 23, 377-382 (1981).
- Y. K. Sirenko and N. P. Yashina, “Nonstationary model problems for waveguide open resonator theory,” Electromagnetics 19, 419-442 (1999). [CrossRef]
- Y. K. Sirenko and N. P. Yashina, “Time domain theory of open waveguide resonators: canonical problems and a generalized matrix technique,” Radio Sci. 38, VIC 26-1-VIC 26-12 (2003). [CrossRef]
- V. P. Shestopalov, L. N. Litvinenko, S. A. Masalov, and V. G. Sologub, Wave Diffraction by Gratings (Kharkov State Univ. Press, 1973) (in Russian).
- R.Petit, ed., Electromagnetic Theory of Gratings (Springer-Verlag, 1980). [CrossRef]
- V. P. Shestopalov, A. A. Kirilenko, S. A. Masalov, and Y. K. Sirenko, “Diffraction gratings,” in Resonance Wave Scattering, Vol. 1 (Naukova Dumka, 1986) (in Russian).
- V. P. Shestopalov and Y. K. Sirenko, Dynamic Theory of Gratings (Naukova Dumka, 1989) (in Russian).
- L. G. Velychko, Y. K. Sirenko, and O. S. Shafalyuk, “Time-domain analysis of open resonators. Analytical grounds,” PIER 61, 1-26 (2006). [CrossRef]
- A. O. Perov, Y. K. Sirenko, and N. P. Yashina, “Periodic open resonators: peculiarities of pulse scattering and spectral features,” PIER 46, 33-75 (2004). [CrossRef]
- V. P. Shestopalov, A. A. Kirilenko, and L. A. Rud', “Waveguide discontinuities,” in Resonance Wave Scattering, Vol. 2 (Naukova Dumka, 1986) (in Russian).
- K. Y. Sirenko, “Splitting of super-broadband pulses by simple inhomogeneities of circular and coaxial waveguide,” Telecommun. Radio Eng. 67, 1415-1428 (2008). [CrossRef]

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